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Manipal MET2015MathematicsStraight Lines

The equations of the straight lines passing through the point (4,3) and making intercepts on the coordinate axes whose sum is -1 , is

Options

  1. Ax 2 - y 3 =1 and x -2 + y 1 =1
  2. Bx 2 - y 3 =-1 and x -2 + y 1 =-1
  3. Cx 2 + y 3 =1 and x 2 + y 1 =1
  4. DNone of the above

Correct answer

A. x 2 - y 3 =1 and x -2 + y 1 =1

Step-by-step solution

Let the equation of the line be x a + y b =1 ...(i) which passes through (4,3) . 4 a + 3 b =1 ...(ii) It is given that a+b=-1 ...(iii) On solving Eqs. (i) and (ii), we get a=-2, b=1 or a=2, b=-3 On substituting the values of a and b in Eq. (i), we get x -2 + y 1 =1 and x 2 + y -3 =1

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